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The position of a particle moving along a line (measured in meters) is s(t) where t...

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Basic Math

The position of a particle moving along a line (measured inmeters) is s(t) where t is measured in seconds. Answer all parts,include units in your answers.

s(t)=2t^3 +6t^2 ?48t+7 ?10

(a) Find the velocity function.

(b) Find all times at which the particle is at rest.

(c) On what interval is the particle moving to the right?

(d) Is the particle slowing down or speeding up at t = ?1seconds?

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